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" If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if... "
The Art of Teaching School. - Page 194
by Josiah Rhinehart Sypher - 1872 - 340 pages
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Arithmetic, Rational and Practical: Wherein the Properties of Numbers are ...

John Mair - Arithmetic - 1772 - 376 pages
...COROLLARIES. 1. Hence to an extreme and two means given, the other extreme, or fourth proportional, is found by dividing the product of the means by the given extreme. Thus to 4 : 8 : 16, the fourth proportional is 32 ; for 8 x 16z= 128, and 4)1 28(32 ; (04:8:16: 32....
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A New and Concise System of Arithmetick: Containing Vulgar, Decimal, and ...

Beriah Stevens - Arithmetic - 1822 - 436 pages
...COROLLARIES. 1. Hence, to an extreme and two means given, the other extreme, or fourth proportional, is found by dividing the product of the means by the given extreme. Thus to 4 : 8 : 16, the fourth proportional ia 32; for 8X16=128, and 4)128(32; so 4 : 8 : 16 : 32....
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A Treatise on Algebra

George Peacock - Algebra - 1830 - 732 pages
...—, d=—, b= — , and c= — ; due o and therefore either of the extreme terms of the proportion may be found by dividing the product of the means by the other extreme ; and either of the means may be found by dividing the product of the extremes by the...
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The Teacher's Manual: Being an Exposition of an Efficient and Economical ...

Thomas H. Palmer - Education - 1840 - 328 pages
...given mean, the quotient will be- the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number : No. 1. 4:6=*:18....
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The School and the Schoolmaster: A Manual for the Use of Teachers, Employers ...

Alonzo Potter, George Barrell Emerson - Education - 1842 - 588 pages
...given mean, the quotient will be the other. In like manner, if one of the extremes be wanting, it can be found by dividing the product of the means by the given extreme. Thus, in the two following proportions, in which x stands for the unknown number : No. 1. 4: 6=0?:...
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Introduction to The National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - Arithmetic - 1849 - 336 pages
...because 24 X 3 = 72; and 72-^6= 12. ART. 246. If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if the means are 8 and 16, and the given extreme 4, the other extreme is 32 ; because 16 X8=128;...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...given, the fourth may be found. For, if the means and one extreme be given, the other extreme will be found by dividing the product of the means by the given extreme. Or, if the extremes and one mean be given, the other mean will bo found by dividing the product of...
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Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851 - 332 pages
...because 24 X 3 = 72; and 72 ^6= 12. ART. 246. If the means and one of ike extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if the means are 8 and 16, and the given extreme 4, the other extreme is 32 ; because 16 X8=128;...
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Indroduction to the National Arithmetic ...

Benjamin Greenleaf - 1854 - 342 pages
...because 24 X 3 = 72; and 72 -=-6= 12. ART. 346. If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if the means are 8 and 16, and the given extreme 4, the other extreme is 32 ; because 16 X8=128;...
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Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1857 - 336 pages
...24 X 3 = 72; and 72 -r- 6 = 12. AKT. 243. If the means and one of the extremes are given, the other extreme may be found by dividing the product of the means by the given extreme. Thus, if the means are 8 and 16, and the given extreme 4, the other extreme is 32 ; because 16 X 8...
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